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Prove that
Solution:
Consider the given equation above
In proving the trigonometric identities, we have to choose the more complicated part. Since both sides of the equation are complicated, then we have to simplify both sides of the equation. We have to use the principles of simplifying trigonometric functions as much as we can until we get the same equation on both sides of the equation. Let's simplify the both sides of the equation as follows
but
Hence the above equation becomes
but
Hence the above equation becomes
but
Hence the above equation becomes
Therefore,
